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Finding the Fourth Proportional to 21,790.16, 32,691.12 and 6,209.12

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Solution

The fourth proportional to 21,790.16, 32,691.12 and 6,209.12 is: 9,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790.16 : 32,691.12 = 6,209.12 : x
  2. Step 2: Convert to fraction form
    21,790.16/32,691.12 = 6,209.12/x
  3. Step 3: Cross multiply
    21,790.16x = 32,691.12 × 6,209.12
  4. Step 4: Simplify right side
    21,790.16x = 202,983,087.01
  5. Step 5: Solve for x
    x = 202,983,087.01/21,790.16
  6. Step 6: Final answer
    x = 9,315.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.